Question

Find the distance between the points (-3, 11) and (5,5).
O 10
2/10
o 2.17

Answer 1

Answer: the first option is the correct answer.

Explanation:

The formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Where

x2 represents final value of x on the horizontal axis

x1 represents initial value of x on the horizontal axis.

y2 represents final value of y on the vertical axis.

y1 represents initial value of y on the vertical axis.

From the graph given,

x2 = - 3

x1 = 5

y2 = 5

y1 = 11

Therefore,

Distance = √(- 3 - 5)² + (5 - 11)²

Distance = √(- 8² + -6²) = √(64 + 36) = √100 = 10

Distance = 10

Answer 2

Answer: d = 10

Explanation:

Explanation:

The formula for calculating distance between two points is given by :

d =
`\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

`x_(1)` = -3

`x_(2)` = 5

`y_(1)` = 11

`y_(2)` = 5

substituting the values , we have

d =
`\sqrt{(5-(-3))^(2)+(5-11)^(2)}`

d =
`\sqrt{(5+3)^(2)+(-6)^(2)}`

d =
`\sqrt{(8)^(2)+(-6)^(2)}`

d =
`√(64+36)`

d =
`√(100)`

d = 10